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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 459, Pages 58–65 (Mi znsl6464)  
On the spectra of boundary value problems generated by some 1D embedding theorems

A. N. Minarskya, A. I. Nazarovbc

a Academic University of the Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
c St. Petersburg State University, St. Petersburg, Russsia
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Abstract: We consider the spectra of boundary value problems related to 1D higher order embedding theorems. For some orders, we prove that the eigenvalues corresponding to even eigenfunctions of different problems cannot coincide.
Key words and phrases: higher order embedding theorems, eigenvalues.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00258
Saint Petersburg State University DFG 6.65.37.2017
Received: 11.09.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 236, Issue 4, Pages 413–418
DOI: https://doi.org/10.1007/s10958-018-4121-5
Document Type: Article
UDC: 517
Language: Russian
Citation: A. N. Minarsky, A. I. Nazarov, “On the spectra of boundary value problems generated by some 1D embedding theorems”, Boundary-value problems of mathematical physics and related problems of function theory. Part 46, Zap. Nauchn. Sem. POMI, 459, POMI, St. Petersburg, 2017, 58–65; J. Math. Sci. (N. Y.), 236:4 (2019), 413–418
Citation in format AMSBIB
\Bibitem{MinNaz17}
\by A.~N.~Minarsky, A.~I.~Nazarov
\paper On the spectra of boundary value problems generated by some 1D embedding theorems
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 459
\pages 58--65
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6464}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 236
\issue 4
\pages 413--418
\crossref{https://doi.org/10.1007/s10958-018-4121-5}
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